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Finding the Third Proportional to 30,876.19 and 49,169.53

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Solution

The third proportional to 30,876.19 and 49,169.53 is: 78,301.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,876.19 : 49,169.53 = 49,169.53 : x
  2. Step 2: Convert to fraction form
    30,876.19/49,169.53 = 49,169.53/x
  3. Step 3: Cross multiply
    30,876.19x = 49,169.53 × 49,169.53
  4. Step 4: Simplify right side
    30,876.19x = 2,417,642,803.34
  5. Step 5: Solve for x
    x = 2,417,642,803.34/30,876.19
  6. Step 6: Final answer
    x = 78,301.21

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.